Distinguish mass from gravitational weight
Separate the amount of matter from the gravitational force acting on it, using the correct units.
Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.
Before you begin
- Recognise kilograms and newtons as different units.
- Distinguish a scalar from a directed force.
Work on paper. Try each question before revealing help, and explain why your method works.
Quick readiness check
How many kilograms is 500 g?
What you will learn
- Describe mass as a quantity of matter for an object at rest relative to the observer.
- Identify weight as a gravitational force on a mass.
Two quantities, two meanings
Mass measures the quantity of matter in an object at rest relative to the observer. In the syllabus’s everyday stationary-object situations, adding material increases mass and removing material decreases it. The SI unit is the kilogram, kg; 500 g is 0.500 kg.
Weight is the gravitational force acting on an object with mass. It is measured in newtons, N, and acts in the direction of the gravitational field. Mass is scalar; weight is a vector. The everyday phrase a weight of 500 grams mixes the quantities: scientifically, 500 g is a mass.
Describe the instrument reading
A balance can compare a sample with known masses. A spring force meter or newton meter measures a force. In a stationary supported situation its reading can be used for the gravitational weight. Check whether a scale is labelled kg, g or N before interpreting its number.
A 0.500 kg sample has weight 4.90 N where the field strength is 9.8 N/kg. Those values are not interchangeable merely because they describe the same object. More mass means more weight at that same field strength, but later Extended work compares one mass in different gravitational fields.
Sources for this lesson
Pause and explain
Which statement correctly distinguishes mass and weight?
Worked example
A sample is labelled 500 g and a force meter reads 4.90 N for its stationary weight. Identify each quantity.
Show the worked solution
- 500 g = 0.500 kg is mass.
- 4.90 N is the gravitational force or weight.
- The readings have different meanings and units.
Answer Mass 0.500 kg; weight 4.90 N.
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Test this topic →From guided practice to a new situation
Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.
A sample has mass 500 g and stationary weight 4.90 N. Express the mass in kg and name the force.
Give me a hint
Convert the mass unit without replacing the force unit.
Compare my reasoning
- 500/1000 = 0.500 kg.
- The 4.90 N reading describes weight.
- Mass and gravitational force remain separate quantities.
0.500 kg mass; 4.90 N weight.
Look for these in your work
- Convert g to kg.
- Identify weight as force.
An experiment table labels its mass column W / N but records 200 g. Correct both headings and units.
Give me a hint
Decide which quantity the supplied reading actually represents.
Compare my reasoning
- 200 g is a mass reading.
- Use a mass heading such as m / g, or convert to 0.200 kg under m / kg.
- Reserve W / N for gravitational force values.
Use m / g with 200, or m / kg with 0.200; W / N is a different quantity.
Look for these in your work
- Match the quantity to its unit.
- Avoid relabelling mass as force.
Two objects at the same location contain different quantities of the same material. What can you say about mass and weight if one has twice the mass?
Give me a hint
Use the same local gravitational conditions for both.
Compare my reasoning
- The larger object has twice the mass.
- At the same field strength, weight is proportional to mass.
- It has twice the weight too, but the mass and force units still differ.
Twice the mass and twice the weight at the same field strength.
Look for these in your work
- State the same-field condition.
- Keep the quantities distinct.
Common mistakes
- Grams are mass units, not force units.
- Mass and weight are not synonyms.
- A force answer requires N rather than kg.
What can you explain now?
Is a stationary object's weight its amount of matter?
Compare with the explanation
No; weight is a gravitational force.
Mass describes the amount of matter, while weight describes a force on that mass.
After trying it yourself, choose your next review. This is your self-assessment.
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Make it stick
Explain mass and weight without using the word heavy, then give each SI unit.
If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.